Geodesic
The relationships between the methods of Hermite, Schur and Lyapunov in the stability theory of polynomials
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 9, pp. 1283-1289 
A. I. Balinskii; B. M. Podlevskii. The relationships between the methods of Hermite, Schur and Lyapunov in the stability theory of polynomials. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 42 (2002) no. 9, pp. 1283-1289. http://geodesic.mathdoc.fr/item/ZVMMF_2002_42_9_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Krein M. G., Naimark M. A., Metod simmetricheskikh i ermitovykh form v teorii otdeleniya kornei algebraicheskikh uravnenii, Gos. nauchno-tekhn. izd-vo Ukrainy, Kharkov, 1936

[2] Balinskii A. I., Podlevskii B. M., “Vychislitelnye aspekty ispolzovaniya matritsy Frobeniusa v voprosakh otdeleniya kornei mnogochlenov”, Zh. vychisl. matem. i matem. fiz., 39:7 (1999), 1069–1073 | MR

[3] Postnikov M. M., Ustoichivye mnogochleny, Nauka, M., 1981 | MR

[4] Podstrigach Ya. S., Balinskii A. I., Zorii L. M., “Odin kriterii ustoichivosti polinomov”, Dokl. AN SSSR, 219:3 (1974), 553–554 | MR | Zbl

[5] Daletskii Yu. L., Krein M. G., Ustoichivost reshenii differentsialnykh uravnenii v banakhovom prostranstve, Nauka, M., 1970 | MR

[6] Balinskii A. I., Podlevskii B. M., Metod simmetrizatsii v obobschennykh spektralnykh zadachakh, Preprint No 25-89, In-t prikl. problem mekhan. i matem., Lvov, 1989

[7] Khalmosh P., Gilbertovo prostranstvo v zadachakh, Mir, M., 1970 | MR

[8] Balinskii A. I., “Ob operatornykh puchkakh so spektrom, lezhaschim v levoi poluploskosti”, Dokl. AN USSR. Ser. A, 1975, no. 6, 510–514 | MR